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Finding the Fourth Proportional to 1,182.78, 1,773.93 and 316.89

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Solution

The fourth proportional to 1,182.78, 1,773.93 and 316.89 is: 475.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.78 : 1,773.93 = 316.89 : x
  2. Step 2: Convert to fraction form
    1,182.78/1,773.93 = 316.89/x
  3. Step 3: Cross multiply
    1,182.78x = 1,773.93 × 316.89
  4. Step 4: Simplify right side
    1,182.78x = 562,140.68
  5. Step 5: Solve for x
    x = 562,140.68/1,182.78
  6. Step 6: Final answer
    x = 475.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.